Problema Solution

y varies jointly as a and b and inversely as the square root of c. 

y=15 

when 

a=5, 

b=5, 

and 

c=25. 

Find y when 

a=4, 

b=3, 

and c=4.

Answer provided by our tutors

y varies jointly as a and b and inversely as the square root of c means:


y = k*(ab/sq.root c)


where k is constant.


y = 15 when a = 5, b = 5, c = 25


15 = k*(5*5/sq.root 25)


15 =k*(5*5/5)


5k = 15


k = 15/5


k = 3


when


a = 4


b = 3


c = 4


y = 3*(4*3/sq.root4)


y = 3(4*3/2)


y = 18